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We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

Applications · Statistics 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

Cylindrical data frequently arise across various scientific disciplines, including meteorology (e.g., wind direction and speed), oceanography (e.g., marine current direction and speed or wave heights), ecology (e.g., telemetry), and…

Methodology · Statistics 2026-02-06 Francesca Labanca , Anna Gottard , Nadja Klein

Thanks to their ability to capture complex dependence structures, copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions. More recently, they have been applied to solve statistical…

Methodology · Statistics 2022-08-22 Thomas Nagler , Thibault Vatter

Accurate travel time estimation is essential for navigation and itinerary planning. While existing research employs probabilistic modeling to assess travel time uncertainty and account for correlations between multiple trips, modeling the…

Machine Learning · Computer Science 2024-11-28 Chen Xu , Qiang Wang , Lijun Sun

Traffic congestion at urban-scale levels occurs when road network supply is insufficient compared with demand. Therefore, the relationship between supply and demand has been extensively investigated in the literature. Especially the impact…

Applications · Statistics 2023-10-26 Kota Nagasaki , Toru Seo

We address two shortcomings in online travel time estimation methods for congested urban traffic. The first shortcoming is related to the determination of the number of mixture modes, which can change dynamically, within day and from day to…

Machine Learning · Statistics 2020-01-14 Saif Eddin Jabari , Nikolaos M. Freris , Deepthi Mary Dilip

Increasing popularity of mobile route planning applications based on GPS technology provides opportunities for collecting traffic data in urban environments. One of the main challenges for travel time estimation and prediction in such a…

Artificial Intelligence · Computer Science 2015-08-11 Indre Zliobaite , Mikhail Khokhlov

Estimated time of arrival (ETA) prediction, also known as travel time estimation, is a fundamental task for a wide range of intelligent transportation applications, such as navigation, route planning, and ride-hailing services. To…

Machine Learning · Computer Science 2022-08-16 Jizhou Huang , Zhengjie Huang , Xiaomin Fang , Shikun Feng , Xuyi Chen , Jiaxiang Liu , Haitao Yuan , Haifeng Wang

Facing the congestion challenges of mixed road networks comprising expressways and arterial road networks, traditional control solutions fall short. To effectively alleviate traffic congestion in mixed road networks, it is crucial to clear…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Yunran Di , Haotian Shi , Weihua Zhang , Heng Ding , Xiaoyan Zheng , Bin Ran

Spatial-temporal prediction is a critical problem for intelligent transportation, which is helpful for tasks such as traffic control and accident prevention. Previous studies rely on large-scale traffic data collected from sensors. However,…

Machine Learning · Computer Science 2021-08-24 Chung-Yi Lin , Hung-Ting Su , Shen-Lung Tung , Winston H. Hsu

We propose a methodology to explore and measure the pairwise correlations that exist between variables in a dataset. The methodology leverages copulas for encoding dependence between two variables, state-of-the-art optimal transport for…

Machine Learning · Statistics 2016-11-01 Gautier Marti , Sebastien Andler , Frank Nielsen , Philippe Donnat

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

Dependence strucuture estimation is one of the important problems in machine learning domain and has many applications in different scientific areas. In this paper, a theoretical framework for such estimation based on copula and copula…

Machine Learning · Computer Science 2019-09-11 Jian Ma , Zengqi Sun

Group-based trajectory modeling (GBTM) is commonly used to identify longitudinal patterns in health outcomes among older adults, with determining the optimal number of groups being a crucial step. While statistically grounded criteria are…

Applications · Statistics 2025-06-24 Yi-Chen Hsiao , Chun-Yuan Chen , Mei-Fen Tang

Understanding time-dependent blood flow dynamics in arteries is crucial for diagnosing and treating cardiovascular diseases. However, accurately predicting time-varying flow patterns requires integrating observational data with…

Fluid Dynamics · Physics 2025-01-09 Muhammad Adnan Anwar , Jorge Tiago

To characterize temporal correlations in temporal networks, we define an autocorrelation function (ACF) for temporal networks in terms of the similarity between two snapshot networks separated by a certain time interval. By employing a…

Physics and Society · Physics 2024-08-14 Hang-Hyun Jo

This article presents factor copula approaches to model temporal dependency of non-Gaussian (continuous/discrete) longitudinal data. Factor copula models are canonical vine copulas which explain the underlying dependence structure of a…

Methodology · Statistics 2025-02-18 Subhajit Chattopadhyay

In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

The Copula is widely used to describe the relationship between the marginal distribution and joint distribution of random variables. The estimation of high-dimensional Copula is difficult, and most existing solutions rely either on…

Machine Learning · Computer Science 2022-11-02 Zhi Zeng , Ting Wang

Multitemporal hyperspectral unmixing (MTHU) aims to model variable endmembers and dynamical abundances, which emphasizes the critical temporal information. However, existing methods have limitations in modeling temporal dependency, thus…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Ruiying Li , Bin Pan , Qiaoying Qu , Xia Xu , Zhenwei Shi